%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : BOO034-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 12:59:40 PM UTC 2026
% Result : Unsatisfiable 6.08s 1.26s
% Output : CNFRefutation 6.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 6
% Syntax : Number of clauses : 52 ( 52 unt; 0 nHn; 11 RR)
% Number of literals : 52 ( 51 equ; 10 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-3 aty)
% Number of variables : 108 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t4,axiom,
multiply(multiply(X1,X2,X3),X4,multiply(X1,X2,X5)) = multiply(X1,X2,multiply(X3,X4,X5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t9,plain,
multiply(multiply(X1,X2,X3),X4,multiply(X1,X2,X5)) = multiply(X1,X2,multiply(X3,X4,X5)),
inference(orient,[status(thm)],[t4]) ).
cnf(t1,axiom,
multiply(X1,X2,X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t5,plain,
multiply(X1,X2,X2) = X2,
inference(orient,[status(thm)],[t1]) ).
cnf(t15,plain,
multiply(X1,X2,multiply(X3,X4,X2)) = multiply(multiply(X1,X2,X3),X4,X2),
inference(cp,[status(thm)],[t9,t5]) ).
cnf(t23,plain,
multiply(multiply(X1,X2,X3),X4,X2) = multiply(X1,X2,multiply(X3,X4,X2)),
inference(orient,[status(thm)],[t15]) ).
cnf(t2,axiom,
multiply(X1,X2,inverse(X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t6,plain,
multiply(X1,X2,inverse(X2)) = X1,
inference(orient,[status(thm)],[t2]) ).
cnf(t26,plain,
multiply(X1,X2,multiply(inverse(X2),X3,X2)) = multiply(X1,X3,X2),
inference(cp,[status(thm)],[t23,t6]) ).
cnf(t36,plain,
multiply(X1,X2,multiply(inverse(X2),X3,X2)) = multiply(X1,X3,X2),
inference(orient,[status(thm)],[t26]) ).
cnf(t38,plain,
multiply(multiply(inverse(X1),X2,X3),X2,X1) = multiply(inverse(X1),X2,multiply(X3,X1,X1)),
inference(cp,[status(thm)],[t36,t9]) ).
cnf(t180,plain,
multiply(multiply(inverse(X1),X2,X3),X2,X1) = multiply(inverse(X1),X2,X1),
inference(step,[status(thm)],[t38,t5]) ).
cnf(t104,plain,
multiply(multiply(inverse(X1),X2,X3),X2,X1) = multiply(inverse(X1),X2,X1),
inference(orient,[status(thm)],[t180]) ).
cnf(t106,plain,
multiply(inverse(X1),X2,X1) = multiply(X2,X2,X1),
inference(cp,[status(thm)],[t104,t5]) ).
cnf(t0,axiom,
multiply(X1,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t7,plain,
multiply(X1,X1,X2) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t181,plain,
multiply(inverse(X1),X2,X1) = X2,
inference(step,[status(thm)],[t106,t7]) ).
cnf(t117,plain,
multiply(inverse(X1),X2,X1) = X2,
inference(orient,[status(thm)],[t181]) ).
cnf(t184,plain,
multiply(X1,X2,X3) = multiply(X1,X3,X2),
inference(step,[status(thm)],[t36,t117]) ).
cnf(t125,plain,
multiply(X1,X2,X3) = multiply(X1,X3,X2),
inference(rw,[status(thm)],[t184]) ).
cnf(t131,plain,
multiply(X1,X2,X3) = multiply(X1,X3,X2),
inference(orient,[status(thm)],[t125]) ).
cnf(t3,axiom,
multiply(inverse(X1),X1,X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t8,plain,
multiply(inverse(X1),X1,X2) = X2,
inference(orient,[status(thm)],[t3]) ).
cnf(t40,plain,
multiply(X1,inverse(X2),X2) = multiply(X1,X2,inverse(X2)),
inference(cp,[status(thm)],[t36,t7]) ).
cnf(t177,plain,
multiply(X1,inverse(X2),X2) = X1,
inference(step,[status(thm)],[t40,t6]) ).
cnf(t46,plain,
multiply(X1,inverse(X2),X2) = X1,
inference(orient,[status(thm)],[t177]) ).
cnf(t48,plain,
inverse(inverse(X1)) = X1,
inference(cp,[status(thm)],[t46,t8]) ).
cnf(t52,plain,
inverse(inverse(X1)) = X1,
inference(orient,[status(thm)],[t48]) ).
cnf(t53,plain,
X1 = multiply(X2,inverse(X2),X1),
inference(cp,[status(thm)],[t8,t52]) ).
cnf(t55,plain,
multiply(X1,inverse(X1),X2) = X2,
inference(orient,[status(thm)],[t53]) ).
cnf(t14,plain,
multiply(X1,X1,multiply(X2,X3,X4)) = multiply(X1,X3,multiply(X1,X1,X4)),
inference(cp,[status(thm)],[t9,t7]) ).
cnf(t175,plain,
X1 = multiply(X1,X3,multiply(X1,X1,X4)),
inference(step,[status(thm)],[t14,t7]) ).
cnf(t176,plain,
X1 = multiply(X1,X3,X1),
inference(step,[status(thm)],[t175,t7]) ).
cnf(t20,plain,
multiply(X1,X2,X1) = X1,
inference(orient,[status(thm)],[t176]) ).
cnf(t22,plain,
multiply(X1,X2,multiply(X3,X4,X1)) = multiply(multiply(X1,X2,X3),X4,X1),
inference(cp,[status(thm)],[t9,t20]) ).
cnf(t58,plain,
multiply(multiply(X1,X2,X3),X4,X1) = multiply(X1,X2,multiply(X3,X4,X1)),
inference(orient,[status(thm)],[t22]) ).
cnf(t120,plain,
X1 = multiply(X2,X1,inverse(X2)),
inference(cp,[status(thm)],[t117,t52]) ).
cnf(t126,plain,
multiply(X1,X2,inverse(X1)) = X2,
inference(orient,[status(thm)],[t120]) ).
cnf(t127,plain,
multiply(X1,X2,multiply(inverse(X1),X3,X1)) = multiply(X2,X3,X1),
inference(cp,[status(thm)],[t58,t126]) ).
cnf(t185,plain,
multiply(X1,X2,X3) = multiply(X2,X3,X1),
inference(step,[status(thm)],[t127,t117]) ).
cnf(t146,plain,
multiply(X1,X2,X3) = multiply(X2,X3,X1),
inference(orient,[status(thm)],[t185]) ).
cnf(goal_0,negated_conjecture,
multiply(multiply(a,inverse(a),b),inverse(multiply(multiply(c,d,e),f,multiply(c,d,g))),multiply(d,multiply(g,f,e),c)) != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
multiply(multiply(a,inverse(a),b),multiply(d,multiply(g,f,e),c),inverse(multiply(multiply(c,d,e),f,multiply(c,d,g)))) != b,
inference(rw,[status(thm)],[goal_0,t131]) ).
cnf(g0_1,plain,
multiply(b,multiply(d,multiply(g,f,e),c),inverse(multiply(multiply(c,d,e),f,multiply(c,d,g)))) != b,
inference(rw,[status(thm)],[g0_0,t55]) ).
cnf(g0_2,plain,
multiply(b,multiply(d,c,multiply(g,f,e)),inverse(multiply(multiply(c,d,e),f,multiply(c,d,g)))) != b,
inference(rw,[status(thm)],[g0_1,t131]) ).
cnf(g0_3,plain,
multiply(b,multiply(d,c,multiply(g,f,e)),inverse(multiply(c,d,multiply(e,f,g)))) != b,
inference(rw,[status(thm)],[g0_2,t9]) ).
cnf(g0_4,plain,
multiply(b,multiply(d,c,multiply(g,f,e)),inverse(multiply(d,multiply(e,f,g),c))) != b,
inference(rw,[status(thm)],[g0_3,t146]) ).
cnf(g0_5,plain,
multiply(b,multiply(d,c,multiply(g,f,e)),inverse(multiply(d,c,multiply(e,f,g)))) != b,
inference(rw,[status(thm)],[g0_4,t131]) ).
cnf(g0_6,plain,
multiply(b,multiply(d,c,multiply(g,f,e)),inverse(multiply(d,c,multiply(g,e,f)))) != b,
inference(rw,[status(thm)],[g0_5,t146]) ).
cnf(g0_7,plain,
multiply(b,multiply(d,c,multiply(g,f,e)),inverse(multiply(d,c,multiply(g,f,e)))) != b,
inference(rw,[status(thm)],[g0_6,t131]) ).
cnf(g0_8,plain,
b != b,
inference(rw,[status(thm)],[g0_7,t6]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : BOO034-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.35 % Computer : n014.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 25 06:36:33 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 6.08/1.26 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.08/1.26 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------